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Finding the Fourth Proportional to 287,278.80, 430,937.40 and 97,736.40

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Solution

The fourth proportional to 287,278.80, 430,937.40 and 97,736.40 is: 146,611.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,278.80 : 430,937.40 = 97,736.40 : x
  2. Step 2: Convert to fraction form
    287,278.80/430,937.40 = 97,736.40/x
  3. Step 3: Cross multiply
    287,278.80x = 430,937.40 × 97,736.40
  4. Step 4: Simplify right side
    287,278.80x = 42,118,270,101.36
  5. Step 5: Solve for x
    x = 42,118,270,101.36/287,278.80
  6. Step 6: Final answer
    x = 146,611.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.